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Finding the Fourth Proportional to 462,814.22, 638,675.16 and 261,610.22

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Solution

The fourth proportional to 462,814.22, 638,675.16 and 261,610.22 is: 361,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,814.22 : 638,675.16 = 261,610.22 : x
  2. Step 2: Convert to fraction form
    462,814.22/638,675.16 = 261,610.22/x
  3. Step 3: Cross multiply
    462,814.22x = 638,675.16 × 261,610.22
  4. Step 4: Simplify right side
    462,814.22x = 167,083,949,116.14
  5. Step 5: Solve for x
    x = 167,083,949,116.14/462,814.22
  6. Step 6: Final answer
    x = 361,017.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.